scholarly journals EXISTENCE OF SOLUTIONS FOR DUAL SINGULAR INTEGRAL EQUATIONS WITH CONVOLUTION KERNELS IN CASE OF NON-NORMAL TYPE

2020 ◽  
Vol 10 (6) ◽  
pp. 2756-2766
Author(s):  
Pingrun Li ◽  
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Existence Of Solutions ◽  
Singular Integral Equations ◽  
Normal Type ◽  
Convolution Kernels

Investigation of the First and the Second Exterior Plane Boundary Value Problems of Steady State Oscillations in the Linear Theory of Elastic Mixtures

2004 ◽  
Vol 11 (3) ◽  
pp. 567-582
Author(s):  
K. Svanadze
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Boundary Value ◽  
Singular Integral Equations ◽  
Plane Boundary ◽  
Normal Type ◽  
Displacement Vectors ◽  
Steady Oscillations ◽  
Theory Of Elastic Mixtures ◽  
Zero Index

Abstract Displacement vectors are represented by combinations of special potentials; singular integral equations of the normal type with zero index are obtained for the first and the second boundary value problem of steady oscillations in the theory of elastic mixtures. It is proved that in the case of positive frequencies the corresponding homogeneous singular integral equations have only a trivial solution.

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna
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